Statistical inference based on k-records

Document Type : Research Article


Department of Statistics, Ferdowsi University of Mashhad, Mashhad


In this paper, an extension of record models, well known as k-records, is considered. Bayesian estimation as well as prediction based on k-records are presented when the underlying distribution is assumed to have a general form. The proposed procedure is applied to the Exponential, Weibull and Pareto models in one parameter case. Also, the two-parameter Exponential distribution, when both parameters are unknown, is studied in more details. Since the ordinary record values are contained in the k-records, by putting k = 1, the results for usual records can be obtained as special case.


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